本文關(guān)鍵詞： FDF模型 鈣泵 輪廓 速度 衰減因子　出處：《中國(guó)科學(xué)技術(shù)大學(xué)》2017年碩士論文　論文類(lèi)型：學(xué)位論文

【摘要】：本文主要分析在鈣離子釋放的fire-diffuse-fire(簡(jiǎn)稱(chēng)FDF)模型中泵驅(qū)動(dòng)鈣離子從細(xì)胞質(zhì)基質(zhì)回到內(nèi)質(zhì)網(wǎng)的影響,尤其考慮泵對(duì)行波行為的影響。我們首先建立FDF模型,并且引入一些本文所涉及到的參數(shù)符號(hào)。釋放事件在行波中相繼發(fā)生。對(duì)于行波而言,我們用系統(tǒng)參數(shù)的函數(shù)來(lái)構(gòu)造行波的速度。在討論衰減因子對(duì)FDF模型的影響之后,我們得出了有限衰減因子導(dǎo)致多個(gè)解的存在。接著我們對(duì)解分支的線性穩(wěn)定性進(jìn)行分析。衰減因子還可能會(huì)導(dǎo)致(單釋放跳躍波)傳播失敗。我們討論FDF模型的連續(xù)極限,并對(duì)其解的穩(wěn)定性進(jìn)行類(lèi)似分析。同時(shí),我們證明跳躍性行波不以恒定的輪廓傳播,而行波脈沖可以以恒定的輪廓傳播。
[Abstract]:In this paper, the effects of pump driving calcium ions from the cytoplasmic matrix to the endoplasmic reticulum in the fire-diffuse-fire model released by calcium ions are analyzed, especially considering the effects of the pump on the traveling wave behavior. We first establish the FDF model. And some parameter symbols are introduced in this paper. Release events occur successively in traveling waves. For traveling waves, we use the function of system parameters to construct the velocity of traveling waves. After discussing the influence of attenuation factor on FDF model, We obtain that the finite attenuation factor leads to the existence of multiple solutions. Then we analyze the linear stability of the solution bifurcation. The attenuation factor may also cause the propagation failure. We discuss the continuous limit of the FDF model. At the same time, we prove that the hopping traveling wave does not propagate as a constant profile, and the traveling wave pulse can propagate in a constant profile.
【學(xué)位授予單位】：中國(guó)科學(xué)技術(shù)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：O175

【參考文獻(xiàn)】

相關(guān)期刊論文 前1條

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本文編號(hào)：1542244